U.S. CVNs actually have the capacity to carry up to 130'ish F-18 Super Bugs simultaneously. They can keep their standard air wing in the fight, but they can absolutely be used as recovery platforms for naval strike aircraft that are launched from elsewhere. You could easily see a scenario in which F-18s and F-35s launch from Southern Europe, refuel, carry out their missions and recover on U.S. Carriers. They could then refuel, and head back to their respective bases in southern Europe to refit and rearm, before carrying out their missions again. I used the number "80" as an idea of how many aircraft that I think could operate off of each carrier in the manner I described above. I chose a number that is a little less than double a standard air wing, as a modern CVN has no problem physically recovering significantly more aircraft than are found in its conventional air wing.As always, Your numbers are inflated. US carrier wing consists of 44 fighters. Not 80, for good reason. Italy and Morocco is too far away and has no relevance for fighter ops. Bombers cam be flown from anywhere but those are stand-off. Keeping tankers over Syria and Lebanon is gonna be risky and require expanding the war to both countries.
Aviano absolutely is not too far away... You can absolutely refuel strike aircraft over Israel / the Mediterranean and have them launch hundreds of JASSMs / JASSM-ER into Iran (Syrian air space would not be respected), as well as virtually unlimited PGMs and other munitions on Hezbollah in Lebanon. Again, the idea would not be to try to destroy Iran. That's silly. The idea would be to devastate Lebanon (Hezbollah) from the air along with the IAF, while Israeli troops attacked north on the ground, while doing meaningful damage to Iran's coastal infrastructure in both the north and the south, in response to their direct strikes on Israel.